The Dancing with the Stars runner-up said that the family have been rallying around Kim in order to prevent her dwelling on the failure of her marriage over Christmas.
"This is the time she needs us the most and every time we're together as a family, we're having fun. We're happy," Rob told People.
"We've been together as a family for a long time. We're normally travelling or working, but we've all been together in the same household for about a month or so and it's definitely a great thing."
Rob added that he is not too concerned about his own single status at present, as he has chosen to focus on his career and well-being.
"I mean, I want a girlfriend. I've been single for a while, but I'm 24 years old and I feel like I have a lot of work to do on myself first and that's really what I've been focusing on," he said. "I'm focusing on my health and getting into shape and my career. I like being single right now."
Kim married basketball player Humphries in August, but filed for divorce just 72 days later on October 31.
> Kim Kardashian family will handle divorce privately, says Rob